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113540522200213 = 2973193341381421
BaseRepresentation
bin11001110100001110110110…
…011111100100110010010101
3112220000100221012200211022211
4121310032312133210302111
5104340221442140401323
61041251443521553421
732626013661622603
oct3164166637446225
9486010835624284
10113540522200213
11331a52a0872129
1210898ab71a5871
134b47a9625a494
142007567b1c873
15d1d6b232270d
hex6743b67e4c95

113540522200213 has 32 divisors (see below), whose sum is σ = 119718147241440. Its totient is φ = 107530552442880.

The previous prime is 113540522200211. The next prime is 113540522200277. The reversal of 113540522200213 is 312002225045311.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2034166242564 + 111506355957649 = 1426242^2 + 10559657^2 .

It is a cyclic number.

It is not a de Polignac number, because 113540522200213 - 21 = 113540522200211 is a prime.

It is a super-2 number, since 2×1135405222002132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113540522200211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394446243 + ... + 1394527663.

It is an arithmetic number, because the mean of its divisors is an integer number (3741192101295).

Almost surely, 2113540522200213 is an apocalyptic number.

It is an amenable number.

113540522200213 is a deficient number, since it is larger than the sum of its proper divisors (6177625041227).

113540522200213 is a wasteful number, since it uses less digits than its factorization.

113540522200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85129.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 113540522200213 its reverse (312002225045311), we get a palindrome (425542747245524).

The spelling of 113540522200213 in words is "one hundred thirteen trillion, five hundred forty billion, five hundred twenty-two million, two hundred thousand, two hundred thirteen".

Divisors: 1 29 73 193 2117 3413 5597 14089 81421 98977 249149 408581 658709 2361209 5943733 7225321 15714253 19102561 48085757 172368257 277889873 455713337 1147140469 1394486953 8058806317 20285960729 33267073601 53632745489 588292861141 1555349619181 3915190420697 113540522200213